542137600 has 216 divisors, whose sum is σ = 1459906560. Its totient is φ = 198696960.

The previous prime is 542137591. The next prime is 542137601. The reversal of 542137600 is 6731245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542137601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4268737 + ... + 4268863.

Almost surely, 2^542137600 is an apocalyptic number.

542137600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729953280).

542137600 is an abundant number, since it is smaller than the sum of its proper divisors (917768960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542137600 is a wasteful number, since it uses less digits than its factorization.

542137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 542137600 is about 23283.8484791497. The cubic root of 542137600 is about 815.3983775096.

Adding to 542137600 its reverse (6731245), we get a palindrome (548868845).

The spelling of 542137600 in words is "five hundred forty-two million, one hundred thirty-seven thousand, six hundred".